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Finding the Fourth Proportional to 2,053.10, 3,079.95 and 754.46

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Solution

The fourth proportional to 2,053.10, 3,079.95 and 754.46 is: 1,131.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.10 : 3,079.95 = 754.46 : x
  2. Step 2: Convert to fraction form
    2,053.10/3,079.95 = 754.46/x
  3. Step 3: Cross multiply
    2,053.10x = 3,079.95 × 754.46
  4. Step 4: Simplify right side
    2,053.10x = 2,323,695.30
  5. Step 5: Solve for x
    x = 2,323,695.30/2,053.10
  6. Step 6: Final answer
    x = 1,131.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.